Perfectoid fields in the language of rings

arXiv (Cornell University) 2026 Preprint Open access

Read full text
Authors: Franziska Jahnke, Ferréol Lavaud
DOI: 10.48550/arxiv.2602.20847
Cited by: 0

Abstract

Building on work of the first author and Kartas, we identify the elementary class generated by all perfectoid fields of fixed residue characteristic $p$ in the language of rings.

Fields of Study & Subjects

Rings Modules and Algebras Algebraic Geometry and Number Theory Advanced Topology and Set Theory

Publication details

Journal / source
arXiv (Cornell University)
Publication date
24 February 2026
Language
EN
Document type
Preprint